3(n+2)+15n=114

Solution for 3(n+2)+15n=114 equation:

Simplifying
3(n + 2) + 15n = 114

Reorder the terms:
3(2 + n) + 15n = 114
(2 * 3 + n * 3) + 15n = 114
(6 + 3n) + 15n = 114

Combine like terms: 3n + 15n = 18n
6 + 18n = 114

Solving
6 + 18n = 114

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-6' to each side of the equation.
6 + -6 + 18n = 114 + -6

Combine like terms: 6 + -6 = 0
0 + 18n = 114 + -6
18n = 114 + -6

Combine like terms: 114 + -6 = 108
18n = 108

Divide each side by '18'.
n = 6

Simplifying
n = 6